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» A Faster Lattice Reduction Method Using Quantum Search
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ISAAC
2003
Springer
115views Algorithms» more  ISAAC 2003»
13 years 10 months ago
A Faster Lattice Reduction Method Using Quantum Search
We propose a new lattice reduction method. Our algorithm approximates shortest lattice vectors up to a factor ≤ (k/6)n/2k and makes use of Grover’s quantum search algorithm. Th...
Christoph Ludwig
CORR
2010
Springer
108views Education» more  CORR 2010»
13 years 5 months ago
Inverting a permutation is as hard as unordered search
We describe a reduction from the problem of unordered search (with a unique solution) to the problem of inverting a permutation. Since there is a straightforward reduction in the ...
Ashwin Nayak
AFRICACRYPT
2010
Springer
14 years 4 days ago
Parallel Shortest Lattice Vector Enumeration on Graphics Cards
In this paper we present an algorithm for parallel exhaustive search for short vectors in lattices. This algorithm can be applied to a wide range of parallel computing systems. To ...
Jens Hermans, Michael Schneider 0002, Johannes Buc...
TCOM
2010
112views more  TCOM 2010»
13 years 3 months ago
On further reduction of complexity in tree pruning based sphere search
Abstract—In this letter, we propose an extension of the probabilistic tree pruning sphere decoding (PTP-SD) algorithm that provides further improvement of the computational compl...
Byonghyo Shim, Insung Kang
CORR
2008
Springer
79views Education» more  CORR 2008»
13 years 5 months ago
Non-classical Role of Potential Energy in Adiabatic Quantum Annealing
Adiabatic quantum annealing is a paradigm of analog quantum computation, where a given computational job is converted to the task of finding the global minimum of some classical po...
Arnab Das